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Finding the Fourth Proportional to 9,520.32, 14,263.20 and 7,464

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Solution

The fourth proportional to 9,520.32, 14,263.20 and 7,464 is: 11,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.32 : 14,263.20 = 7,464 : x
  2. Step 2: Convert to fraction form
    9,520.32/14,263.20 = 7,464/x
  3. Step 3: Cross multiply
    9,520.32x = 14,263.20 × 7,464
  4. Step 4: Simplify right side
    9,520.32x = 106,460,524.80
  5. Step 5: Solve for x
    x = 106,460,524.80/9,520.32
  6. Step 6: Final answer
    x = 11,182.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.